任意相干度圆孔成像系统对两物点分辨能力研究
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(西安工业大学 光电工程学院,陕西 西安 710032)

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胡小英(1978-),女,博士,副教授,硕士生导师,主要从 事先进成像技术研究.

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国防基础研究项目(A0920110019)、陕西省重点实验室开放基金(ZSKJ201301)和总装先进制 造(51318020303)资助项目 (西安工业大学 光电工程学院,陕西 西安 710032)


Research on the resolving ability of two object points with arbitrary cohere nce circular hole imaging system
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(School of Optoelectronic Engineering,Xi′an Technological University,Xi′an,Shaanxi 710032,China)

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    摘要:

    两点分辨的问题已进行过深入的研究,其中最著 名的是Rayleigh和Sparrow判据。然 而其通常仅适用于完全相干光或者完全非相干光两种极限状态,对于具有普遍性的部分相干 光的情况却研究较少。本文设计了部分相干光照明圆孔成像系统,据此建立了两物点光强在 像面分布数学模型,利用MATLAB对两物点像面光强分别在不同间距与任意相干度情况进行了 模拟仿真,结果显示当两点间距一定,两物点分辨率随着两点光源间相干度的增加而减小, 而当相干度一定时,两物点分辨率随着两点光源间距的增加而增加。本文同时采用像面间距 与物面间距的比值以描述系统对两物点分辨能力,分析探讨了两物点恰能分辨,不能分辨, 完全能分辨的三种情况,并给出任意相干度的圆孔成像系统一般分辨规律。同时设计了两物 点在任意相干度的成像系统实验平台,实验结果表明两物点在此实验条件下间距为1.5 mm时恰能分辨,说明实验结果与理论模拟基本吻合。

    Abstract:

    The problem of two-point resolution has been discussed by many criteri a and methods.The most famous ones are the Rayleigh and Sparrow criteria.Howev er,they are only applicable to the two limited states of completely coherent li ght or completely incoherent light,while the universal case of partially cohere nt light is studied less.In this paper,we designed a circular aperture imaging system with partially coherent light illumination to make an analysis of the tw o-point resolution.Based on the experimental platform,we established the math e matical model of the light intensity distribution of two object points on the im age surface.MATLAB is used to simulate the image surface light intensity of the two object points at different distance and arbitrary coherence.The simulation results show that when the distance between the two points is constant,the res olution of the two object points decreases with the increase of the coherence be tween the two point light sources,and when the coherence is constant,the resol ution of the two object points increases with the increase of the distance betwe en the two point light sources.In this paper,the ratio between the distance of image plane and the one of object plane is used to describe the system′s abili ty to distinguish between two object points.The analysis explores the three situ ations in which two object points can be distinguished,cannot be distinguished, and can be distinguished completely.At the same time,we got the law of two-p o int resolution with an arbitrary degree of coherence and the distance between tw o points.The circular hole imaging system generally is satisfied with the law. We designed an imaging system experimental platform with two object points at an y degree of coherence.The experimental results show that the two object points can be resolved at the distance of 1.5mm under this experimental condition,whi ch indicates that the experimental results are basically in agreement with the t heoretical simulations.

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胡守波,胡小英,李昊.任意相干度圆孔成像系统对两物点分辨能力研究[J].光电子激光,2021,32(9):1000~1006

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  • 收稿日期:2021-03-24
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  • 在线发布日期: 2021-11-12
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